Question

Solve the equations
x+5=4x-1
Answered by GPT-4o mini
To solve the equation \( x + 5 = 4x - 1 \), follow these steps:

1. Subtract \( x \) from both sides:

\[
5 = 3x - 1
\]

2. Add 1 to both sides:

\[
6 = 3x
\]

3. Divide both sides by 3:

\[
x = 2
\]

The solution to the equation is \( x = 2 \).
Answer
Solve the equations
x=-3x+8
Answered by GPT-4o mini
To solve the equation \( x = -3x + 8 \), follow these steps:

1. Add \( 3x \) to both sides:

\[
x + 3x = 8
\]

This simplifies to:

\[
4x = 8
\]

2. Now, divide both sides by 4:

\[
x = \frac{8}{4} = 2
\]

The solution to the equation is \( x = 2 \).
Answer
Solve the equations
y-1=3y+7
what is the value of y
Answered by GPT-4o mini
To solve the equation \( y - 1 = 3y + 7 \), follow these steps:

1. Subtract \( y \) from both sides:

\[
-1 = 3y - y + 7
\]

This simplifies to:

\[
-1 = 2y + 7
\]

2. Now, subtract 7 from both sides:

\[
-1 - 7 = 2y
\]

\[
-8 = 2y
\]

3. Finally, divide both sides by 2:

\[
y = \frac{-8}{2} = -4
\]

The value of \( y \) is \( -4 \).
Answer
Solve the equations
20+7k=8(k+2)
Answered by GPT-4o mini
To solve the equation \( 20 + 7k = 8(k + 2) \), follow these steps:

1. Distribute the \( 8 \) on the right side:

\[
20 + 7k = 8k + 16
\]

2. Next, let's move all terms involving \( k \) to one side and constant terms to the other side. Subtract \( 7k \) from both sides:

\[
20 = 8k - 7k + 16
\]

This simplifies to:

\[
20 = k + 16
\]

3. Now, subtract \( 16 \) from both sides:

\[
20 - 16 = k
\]

\[
4 = k
\]

The solution to the equation is \( k = 4 \).